Another way prepositional phrases can describe how something was done is with the word in.
(There are two prepositional phrases in this snippet, but just pay attention to the first one.)
He said this in such a funny way that the milk I was drinking came out my nose when I laughed, which made us all totally crack up.
He said this in such a rage that the milk I was drinking came out my nose when I laughed, which made us all totally crack up.
He said this in such a ridiculous voice that the milk I was drinking came out my nose when I laughed, which made us all totally crack up.
Sometimes we use with to show the way something was done.
He said this with such bitterness that the milk I was drinking came out my nose when I laughed, which made us all totally crack up.